Question

How do you expand the binomial `(x+4)^6` using the binomial theorem?

Answer 1

Expansion is given below

Explanation:

Using binomial theorem as follows

`(x+4)^6`

`=^6C_0x^6+^6C_1x^5(4)+^6C_2x^4(4)^2+^6C_3x^3(4)^3+^6C_4x^2(4)^4+^6C_5x(4)^5+^6C_6(4)^6`

`=x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096`